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Competition among non-life insurers under solvency constraints: A game-theoretic approach

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  • Christophe Dutang

    () (SAF - Laboratoire de Sciences Actuarielle et Financière - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon, IRMA - Institut de Recherche Mathématique Avancée - UNISTRA - Université de Strasbourg - CNRS - Centre National de la Recherche Scientifique)

  • Hansjoerg Albrecher

    (UNIL - Université de Lausanne)

  • Stéphane Loisel

    () (SAF - Laboratoire de Sciences Actuarielle et Financière - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon)

Abstract

In this paper, we formulate a noncooperative game to model a non-life insurance market. The aim is to analyze the e ects of competition between insurers through di erent indicators: the market premium, the solvency level, the market share and the underwriting results. Resulting premium Nash equilibria are discussed and numerically illustrated.

Suggested Citation

  • Christophe Dutang & Hansjoerg Albrecher & Stéphane Loisel, 2013. "Competition among non-life insurers under solvency constraints: A game-theoretic approach," Post-Print hal-00746245, HAL.
  • Handle: RePEc:hal:journl:hal-00746245
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00746245
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    1. Kliger, Doron & Levikson, Benny, 1998. "Pricing insurance contracts -- an economic viewpoint," Insurance: Mathematics and Economics, Elsevier, vol. 22(3), pages 243-249, July.
    2. Chiappori, Pierre-Andre & Durand, Franck & Geoffard, Pierre-Yves, 1998. "Moral hazard and the demand for physician services: First lessons from a French natural experiment," European Economic Review, Elsevier, vol. 42(3-5), pages 499-511, May.
    3. Simon P. Anderson & André De Palma & Jacques-François Thisse, 1989. "Demand for Differentiated Products, Discrete Choice Models, and the Characteristics Approach," Review of Economic Studies, Oxford University Press, vol. 56(1), pages 21-35.
    4. Mattias K. Polborn, 1998. "A Model of an Oligopoly in an Insurance Market," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 23(1), pages 41-48, June.
    5. Borch, Karl, 1975. "Optimal Insurance Arrangements," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 8(03), pages 284-290, September.
    6. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, Oxford University Press, vol. 90(4), pages 629-649.
    7. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, March.
    8. Onn, Keet Peng & Mercer, Alan, 1998. "The direct marketing of insurance," European Journal of Operational Research, Elsevier, vol. 109(3), pages 541-549, September.
    9. Emms, P. & Haberman, S. & Savoulli, I., 2007. "Optimal strategies for pricing general insurance," Insurance: Mathematics and Economics, Elsevier, vol. 40(1), pages 15-34, January.
    10. Dimitriyadis, Irini & TektaS, Arzu, 1998. "A note on the behavior of the insureds in auto-insurance systems in Turkey," European Journal of Operational Research, Elsevier, vol. 106(1), pages 39-44, April.
    11. Julien Hardelin & Sabine Lemoyne de Forges, 2012. "Raising Capital in an Insurance Oligopoly Market," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 37(1), pages 83-108, March.
    12. Lemaire, Jean & Quairiere, Jean-Pierre, 1986. "Chains of Reinsurance Revisited," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 16(02), pages 77-88, November.
    13. Loisel, Stéphane & Milhaud, Xavier, 2011. "From deterministic to stochastic surrender risk models: Impact of correlation crises on economic capital," European Journal of Operational Research, Elsevier, vol. 214(2), pages 348-357, October.
    14. Taksar, Michael & Zeng, Xudong, 2011. "Optimal non-proportional reinsurance control and stochastic differential games," Insurance: Mathematics and Economics, Elsevier, vol. 48(1), pages 64-71, January.
    15. Diewert, W. E. & Avriel, M. & Zang, I., 1981. "Nine kinds of quasiconcavity and concavity," Journal of Economic Theory, Elsevier, vol. 25(3), pages 397-420, December.
    16. Pierre Picard, 2014. "Participating Insurance Contracts and the Rothschild-Stiglitz Equilibrium Puzzle," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 39(2), pages 153-175, September.
    17. Mary A. Weiss, 2007. "Underwriting Cycles: A Synthesis and Further Directions," Journal of Insurance Issues, Western Risk and Insurance Association, vol. 30(1), pages 31-46.
    18. Ray Rees & Ekkehard Kessner, 1999. "Regulation and efficiency in European insurance markets," Economic Policy, CEPR;CES;MSH, vol. 14(29), pages 363-398, October.
    19. Powers, Michael R. & Shubik, Martin, 1998. "On the tradeoff between the law of large numbers and oligopoly in insurance," Insurance: Mathematics and Economics, Elsevier, vol. 23(2), pages 141-156, November.
    20. Taylor, G. C., 1987. "Expenses and underwriting strategy in competition," Insurance: Mathematics and Economics, Elsevier, vol. 6(4), pages 275-287, November.
    21. Chen, Yun Chu & Fang, Shu-Cherng & Wen, Ue-Pyng, 2013. "Pricing policies for substitutable products in a supply chain with Internet and traditional channels," European Journal of Operational Research, Elsevier, vol. 224(3), pages 542-551.
    22. Leung, Chi Man & Kwok, Yue Kuen, 2012. "Patent-investment games under asymmetric information," European Journal of Operational Research, Elsevier, vol. 223(2), pages 441-451.
    23. A. Y. Golubin, 2006. "Pareto-Optimal Insurance Policies in the Models with a Premium Based on the Actuarial Value," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(3), pages 469-487.
    24. Takagoshi, Noritsugu & Matsubayashi, Nobuo, 2013. "Customization competition between branded firms: Continuous extension of product line from core product," European Journal of Operational Research, Elsevier, vol. 225(2), pages 337-352.
    25. Ray Rees & Hugh Gravelle & Achim Wambach, 1999. "Regulation of Insurance Markets," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 24(1), pages 55-68, June.
    26. Taylor, G. C., 1986. "Underwriting strategy in a competitive insurance environment," Insurance: Mathematics and Economics, Elsevier, vol. 5(1), pages 59-77, January.
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    Cited by:

    1. Boonen, Tim J., 2016. "Nash equilibria of Over-The-Counter bargaining for insurance risk redistributions: The role of a regulator," European Journal of Operational Research, Elsevier, vol. 250(3), pages 955-965.
    2. Malinovskii, Vsevolod K., 2015. "Business planning for a profit-seeking insurer under deficiency of information," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 215-226.
    3. Florin Avram & Romain Biard & Christophe Dutang & Stéphane Loisel & Landy Rabehasaina, 2014. "A survey of some recent results on Risk Theory," Post-Print hal-01616178, HAL.
    4. repec:eee:insuma:v:78:y:2018:i:c:p:123-135 is not listed on IDEAS
    5. Dimitrova, Dimitrina S. & Kaishev, Vladimir K. & Zhao, Shouqi, 2015. "On finite-time ruin probabilities in a generalized dual risk model with dependence," European Journal of Operational Research, Elsevier, vol. 242(1), pages 134-148.

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